TSTP Solution File: SEU249+2 by ET---2.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : ET---2.0
% Problem  : SEU249+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_ET %s %d

% Computer : n008.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Tue Jul 19 09:18:17 EDT 2022

% Result   : Theorem 0.39s 29.56s
% Output   : CNFRefutation 0.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   72 (  11 unt;   0 def)
%            Number of atoms       :  198 (  25 equ)
%            Maximal formula atoms :   20 (   2 avg)
%            Number of connectives :  213 (  87   ~;  92   |;  15   &)
%                                         (   4 <=>;  15  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   4 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of predicates  :    5 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   3 con; 0-3 aty)
%            Number of variables   :  126 (  16 sgn  66   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(t19_wellord1,conjecture,
    ! [X1,X2,X3] :
      ( relation(X3)
     => ( in(X1,relation_field(relation_restriction(X3,X2)))
       => ( in(X1,relation_field(X3))
          & in(X1,X2) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t19_wellord1) ).

fof(t18_wellord1,lemma,
    ! [X1,X2] :
      ( relation(X2)
     => relation_restriction(X2,X1) = relation_rng_restriction(X1,relation_dom_restriction(X2,X1)) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t18_wellord1) ).

fof(d2_xboole_0,axiom,
    ! [X1,X2,X3] :
      ( X3 = set_union2(X1,X2)
    <=> ! [X4] :
          ( in(X4,X3)
        <=> ( in(X4,X1)
            | in(X4,X2) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d2_xboole_0) ).

fof(d6_relat_1,axiom,
    ! [X1] :
      ( relation(X1)
     => relation_field(X1) = set_union2(relation_dom(X1),relation_rng(X1)) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',d6_relat_1) ).

fof(t115_relat_1,lemma,
    ! [X1,X2,X3] :
      ( relation(X3)
     => ( in(X1,relation_rng(relation_rng_restriction(X2,X3)))
      <=> ( in(X1,X2)
          & in(X1,relation_rng(X3)) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t115_relat_1) ).

fof(dt_k8_relat_1,axiom,
    ! [X1,X2] :
      ( relation(X2)
     => relation(relation_rng_restriction(X1,X2)) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k8_relat_1) ).

fof(t140_relat_1,lemma,
    ! [X1,X2,X3] :
      ( relation(X3)
     => relation_dom_restriction(relation_rng_restriction(X1,X3),X2) = relation_rng_restriction(X1,relation_dom_restriction(X3,X2)) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t140_relat_1) ).

fof(t86_relat_1,lemma,
    ! [X1,X2,X3] :
      ( relation(X3)
     => ( in(X1,relation_dom(relation_dom_restriction(X3,X2)))
      <=> ( in(X1,X2)
          & in(X1,relation_dom(X3)) ) ) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t86_relat_1) ).

fof(t17_wellord1,lemma,
    ! [X1,X2] :
      ( relation(X2)
     => relation_restriction(X2,X1) = relation_dom_restriction(relation_rng_restriction(X1,X2),X1) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t17_wellord1) ).

fof(t12_xboole_1,lemma,
    ! [X1,X2] :
      ( subset(X1,X2)
     => set_union2(X1,X2) = X2 ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t12_xboole_1) ).

fof(dt_k7_relat_1,axiom,
    ! [X1,X2] :
      ( relation(X1)
     => relation(relation_dom_restriction(X1,X2)) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',dt_k7_relat_1) ).

fof(t99_relat_1,lemma,
    ! [X1,X2] :
      ( relation(X2)
     => subset(relation_rng(relation_dom_restriction(X2,X1)),relation_rng(X2)) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',t99_relat_1) ).

fof(l29_wellord1,lemma,
    ! [X1,X2] :
      ( relation(X2)
     => subset(relation_dom(relation_rng_restriction(X1,X2)),relation_dom(X2)) ),
    file('/export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in',l29_wellord1) ).

fof(c_0_13,negated_conjecture,
    ~ ! [X1,X2,X3] :
        ( relation(X3)
       => ( in(X1,relation_field(relation_restriction(X3,X2)))
         => ( in(X1,relation_field(X3))
            & in(X1,X2) ) ) ),
    inference(assume_negation,[status(cth)],[t19_wellord1]) ).

fof(c_0_14,negated_conjecture,
    ( relation(esk3_0)
    & in(esk1_0,relation_field(relation_restriction(esk3_0,esk2_0)))
    & ( ~ in(esk1_0,relation_field(esk3_0))
      | ~ in(esk1_0,esk2_0) ) ),
    inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])]) ).

fof(c_0_15,lemma,
    ! [X3,X4] :
      ( ~ relation(X4)
      | relation_restriction(X4,X3) = relation_rng_restriction(X3,relation_dom_restriction(X4,X3)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t18_wellord1])]) ).

fof(c_0_16,plain,
    ! [X5,X6,X7,X8,X8,X5,X6,X7] :
      ( ( ~ in(X8,X7)
        | in(X8,X5)
        | in(X8,X6)
        | X7 != set_union2(X5,X6) )
      & ( ~ in(X8,X5)
        | in(X8,X7)
        | X7 != set_union2(X5,X6) )
      & ( ~ in(X8,X6)
        | in(X8,X7)
        | X7 != set_union2(X5,X6) )
      & ( ~ in(esk6_3(X5,X6,X7),X5)
        | ~ in(esk6_3(X5,X6,X7),X7)
        | X7 = set_union2(X5,X6) )
      & ( ~ in(esk6_3(X5,X6,X7),X6)
        | ~ in(esk6_3(X5,X6,X7),X7)
        | X7 = set_union2(X5,X6) )
      & ( in(esk6_3(X5,X6,X7),X7)
        | in(esk6_3(X5,X6,X7),X5)
        | in(esk6_3(X5,X6,X7),X6)
        | X7 = set_union2(X5,X6) ) ),
    inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d2_xboole_0])])])])])])]) ).

cnf(c_0_17,negated_conjecture,
    in(esk1_0,relation_field(relation_restriction(esk3_0,esk2_0))),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_18,lemma,
    ( relation_restriction(X1,X2) = relation_rng_restriction(X2,relation_dom_restriction(X1,X2))
    | ~ relation(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_15]) ).

cnf(c_0_19,negated_conjecture,
    relation(esk3_0),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

fof(c_0_20,plain,
    ! [X2] :
      ( ~ relation(X2)
      | relation_field(X2) = set_union2(relation_dom(X2),relation_rng(X2)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[d6_relat_1])]) ).

cnf(c_0_21,plain,
    ( in(X4,X3)
    | in(X4,X2)
    | X1 != set_union2(X2,X3)
    | ~ in(X4,X1) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_22,negated_conjecture,
    in(esk1_0,relation_field(relation_rng_restriction(esk2_0,relation_dom_restriction(esk3_0,esk2_0)))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_18]),c_0_19])]) ).

cnf(c_0_23,plain,
    ( relation_field(X1) = set_union2(relation_dom(X1),relation_rng(X1))
    | ~ relation(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_20]) ).

fof(c_0_24,lemma,
    ! [X4,X5,X6] :
      ( ( in(X4,X5)
        | ~ in(X4,relation_rng(relation_rng_restriction(X5,X6)))
        | ~ relation(X6) )
      & ( in(X4,relation_rng(X6))
        | ~ in(X4,relation_rng(relation_rng_restriction(X5,X6)))
        | ~ relation(X6) )
      & ( ~ in(X4,X5)
        | ~ in(X4,relation_rng(X6))
        | in(X4,relation_rng(relation_rng_restriction(X5,X6)))
        | ~ relation(X6) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t115_relat_1])])]) ).

cnf(c_0_25,plain,
    ( in(X1,X2)
    | in(X1,X3)
    | ~ in(X1,set_union2(X3,X2)) ),
    inference(er,[status(thm)],[c_0_21]) ).

cnf(c_0_26,negated_conjecture,
    ( in(esk1_0,set_union2(relation_dom(relation_rng_restriction(esk2_0,relation_dom_restriction(esk3_0,esk2_0))),relation_rng(relation_rng_restriction(esk2_0,relation_dom_restriction(esk3_0,esk2_0)))))
    | ~ relation(relation_rng_restriction(esk2_0,relation_dom_restriction(esk3_0,esk2_0))) ),
    inference(spm,[status(thm)],[c_0_22,c_0_23]) ).

fof(c_0_27,plain,
    ! [X3,X4] :
      ( ~ relation(X4)
      | relation(relation_rng_restriction(X3,X4)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k8_relat_1])]) ).

cnf(c_0_28,lemma,
    ( in(X2,X3)
    | ~ relation(X1)
    | ~ in(X2,relation_rng(relation_rng_restriction(X3,X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_29,negated_conjecture,
    ( in(esk1_0,relation_dom(relation_rng_restriction(esk2_0,relation_dom_restriction(esk3_0,esk2_0))))
    | in(esk1_0,relation_rng(relation_rng_restriction(esk2_0,relation_dom_restriction(esk3_0,esk2_0))))
    | ~ relation(relation_rng_restriction(esk2_0,relation_dom_restriction(esk3_0,esk2_0))) ),
    inference(spm,[status(thm)],[c_0_25,c_0_26]) ).

cnf(c_0_30,plain,
    ( relation(relation_rng_restriction(X1,X2))
    | ~ relation(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_27]) ).

fof(c_0_31,lemma,
    ! [X4,X5,X6] :
      ( ~ relation(X6)
      | relation_dom_restriction(relation_rng_restriction(X4,X6),X5) = relation_rng_restriction(X4,relation_dom_restriction(X6,X5)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t140_relat_1])]) ).

fof(c_0_32,lemma,
    ! [X4,X5,X6] :
      ( ( in(X4,X5)
        | ~ in(X4,relation_dom(relation_dom_restriction(X6,X5)))
        | ~ relation(X6) )
      & ( in(X4,relation_dom(X6))
        | ~ in(X4,relation_dom(relation_dom_restriction(X6,X5)))
        | ~ relation(X6) )
      & ( ~ in(X4,X5)
        | ~ in(X4,relation_dom(X6))
        | in(X4,relation_dom(relation_dom_restriction(X6,X5)))
        | ~ relation(X6) ) ),
    inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t86_relat_1])])]) ).

cnf(c_0_33,lemma,
    ( in(esk1_0,relation_dom(relation_rng_restriction(esk2_0,relation_dom_restriction(esk3_0,esk2_0))))
    | in(esk1_0,esk2_0)
    | ~ relation(relation_dom_restriction(esk3_0,esk2_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]) ).

cnf(c_0_34,lemma,
    ( relation_dom_restriction(relation_rng_restriction(X1,X2),X3) = relation_rng_restriction(X1,relation_dom_restriction(X2,X3))
    | ~ relation(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_31]) ).

fof(c_0_35,lemma,
    ! [X3,X4] :
      ( ~ relation(X4)
      | relation_restriction(X4,X3) = relation_dom_restriction(relation_rng_restriction(X3,X4),X3) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t17_wellord1])]) ).

cnf(c_0_36,lemma,
    ( in(X2,X3)
    | ~ relation(X1)
    | ~ in(X2,relation_dom(relation_dom_restriction(X1,X3))) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_37,lemma,
    ( in(esk1_0,relation_dom(relation_dom_restriction(relation_rng_restriction(esk2_0,esk3_0),esk2_0)))
    | in(esk1_0,esk2_0)
    | ~ relation(relation_dom_restriction(esk3_0,esk2_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_33,c_0_34]),c_0_19])]) ).

fof(c_0_38,lemma,
    ! [X3,X4] :
      ( ~ subset(X3,X4)
      | set_union2(X3,X4) = X4 ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t12_xboole_1])]) ).

cnf(c_0_39,lemma,
    ( relation_restriction(X1,X2) = relation_dom_restriction(relation_rng_restriction(X2,X1),X2)
    | ~ relation(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_35]) ).

cnf(c_0_40,lemma,
    ( in(esk1_0,esk2_0)
    | ~ relation(relation_rng_restriction(esk2_0,esk3_0))
    | ~ relation(relation_dom_restriction(esk3_0,esk2_0)) ),
    inference(spm,[status(thm)],[c_0_36,c_0_37]) ).

fof(c_0_41,plain,
    ! [X3,X4] :
      ( ~ relation(X3)
      | relation(relation_dom_restriction(X3,X4)) ),
    inference(shift_quantors,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[dt_k7_relat_1])])])]) ).

cnf(c_0_42,plain,
    ( in(X4,X1)
    | X1 != set_union2(X2,X3)
    | ~ in(X4,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

cnf(c_0_43,lemma,
    ( set_union2(X1,X2) = X2
    | ~ subset(X1,X2) ),
    inference(split_conjunct,[status(thm)],[c_0_38]) ).

fof(c_0_44,lemma,
    ! [X3,X4] :
      ( ~ relation(X4)
      | subset(relation_rng(relation_dom_restriction(X4,X3)),relation_rng(X4)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[t99_relat_1])]) ).

cnf(c_0_45,negated_conjecture,
    in(esk1_0,relation_field(relation_dom_restriction(relation_rng_restriction(esk2_0,esk3_0),esk2_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_17,c_0_39]),c_0_19])]) ).

cnf(c_0_46,lemma,
    ( in(esk1_0,esk2_0)
    | ~ relation(relation_dom_restriction(esk3_0,esk2_0)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_40,c_0_30]),c_0_19])]) ).

cnf(c_0_47,plain,
    ( relation(relation_dom_restriction(X1,X2))
    | ~ relation(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_41]) ).

cnf(c_0_48,lemma,
    ( in(X1,X2)
    | ~ subset(X3,X2)
    | ~ in(X1,X3) ),
    inference(er,[status(thm)],[inference(spm,[status(thm)],[c_0_42,c_0_43])]) ).

cnf(c_0_49,lemma,
    ( subset(relation_rng(relation_dom_restriction(X1,X2)),relation_rng(X1))
    | ~ relation(X1) ),
    inference(split_conjunct,[status(thm)],[c_0_44]) ).

cnf(c_0_50,negated_conjecture,
    ( in(esk1_0,set_union2(relation_dom(relation_dom_restriction(relation_rng_restriction(esk2_0,esk3_0),esk2_0)),relation_rng(relation_dom_restriction(relation_rng_restriction(esk2_0,esk3_0),esk2_0))))
    | ~ relation(relation_dom_restriction(relation_rng_restriction(esk2_0,esk3_0),esk2_0)) ),
    inference(spm,[status(thm)],[c_0_45,c_0_23]) ).

cnf(c_0_51,negated_conjecture,
    ( ~ in(esk1_0,esk2_0)
    | ~ in(esk1_0,relation_field(esk3_0)) ),
    inference(split_conjunct,[status(thm)],[c_0_14]) ).

cnf(c_0_52,lemma,
    in(esk1_0,esk2_0),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_47]),c_0_19])]) ).

cnf(c_0_53,lemma,
    ( in(X1,relation_rng(X2))
    | ~ relation(X2)
    | ~ in(X1,relation_rng(relation_dom_restriction(X2,X3))) ),
    inference(spm,[status(thm)],[c_0_48,c_0_49]) ).

cnf(c_0_54,negated_conjecture,
    ( in(esk1_0,relation_dom(relation_dom_restriction(relation_rng_restriction(esk2_0,esk3_0),esk2_0)))
    | in(esk1_0,relation_rng(relation_dom_restriction(relation_rng_restriction(esk2_0,esk3_0),esk2_0)))
    | ~ relation(relation_dom_restriction(relation_rng_restriction(esk2_0,esk3_0),esk2_0)) ),
    inference(spm,[status(thm)],[c_0_25,c_0_50]) ).

cnf(c_0_55,negated_conjecture,
    ~ in(esk1_0,relation_field(esk3_0)),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_51,c_0_52])]) ).

cnf(c_0_56,plain,
    ( in(X4,X1)
    | X1 != set_union2(X2,X3)
    | ~ in(X4,X3) ),
    inference(split_conjunct,[status(thm)],[c_0_16]) ).

fof(c_0_57,lemma,
    ! [X3,X4] :
      ( ~ relation(X4)
      | subset(relation_dom(relation_rng_restriction(X3,X4)),relation_dom(X4)) ),
    inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[l29_wellord1])]) ).

cnf(c_0_58,lemma,
    ( in(X2,relation_dom(X1))
    | ~ relation(X1)
    | ~ in(X2,relation_dom(relation_dom_restriction(X1,X3))) ),
    inference(split_conjunct,[status(thm)],[c_0_32]) ).

cnf(c_0_59,negated_conjecture,
    ( in(esk1_0,relation_dom(relation_dom_restriction(relation_rng_restriction(esk2_0,esk3_0),esk2_0)))
    | in(esk1_0,relation_rng(relation_rng_restriction(esk2_0,esk3_0)))
    | ~ relation(relation_rng_restriction(esk2_0,esk3_0)) ),
    inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_53,c_0_54]),c_0_47]) ).

cnf(c_0_60,negated_conjecture,
    ~ in(esk1_0,set_union2(relation_dom(esk3_0),relation_rng(esk3_0))),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_55,c_0_23]),c_0_19])]) ).

cnf(c_0_61,plain,
    ( in(X1,set_union2(X2,X3))
    | ~ in(X1,X3) ),
    inference(er,[status(thm)],[c_0_56]) ).

cnf(c_0_62,lemma,
    ( subset(relation_dom(relation_rng_restriction(X1,X2)),relation_dom(X2))
    | ~ relation(X2) ),
    inference(split_conjunct,[status(thm)],[c_0_57]) ).

cnf(c_0_63,lemma,
    ( in(X2,relation_rng(X1))
    | ~ relation(X1)
    | ~ in(X2,relation_rng(relation_rng_restriction(X3,X1))) ),
    inference(split_conjunct,[status(thm)],[c_0_24]) ).

cnf(c_0_64,lemma,
    ( in(esk1_0,relation_rng(relation_rng_restriction(esk2_0,esk3_0)))
    | in(esk1_0,relation_dom(relation_rng_restriction(esk2_0,esk3_0)))
    | ~ relation(relation_rng_restriction(esk2_0,esk3_0)) ),
    inference(spm,[status(thm)],[c_0_58,c_0_59]) ).

cnf(c_0_65,negated_conjecture,
    ~ in(esk1_0,relation_rng(esk3_0)),
    inference(spm,[status(thm)],[c_0_60,c_0_61]) ).

cnf(c_0_66,plain,
    ( in(X1,set_union2(X2,X3))
    | ~ in(X1,X2) ),
    inference(er,[status(thm)],[c_0_42]) ).

cnf(c_0_67,lemma,
    ( in(X1,relation_dom(X2))
    | ~ relation(X2)
    | ~ in(X1,relation_dom(relation_rng_restriction(X3,X2))) ),
    inference(spm,[status(thm)],[c_0_48,c_0_62]) ).

cnf(c_0_68,lemma,
    ( in(esk1_0,relation_dom(relation_rng_restriction(esk2_0,esk3_0)))
    | ~ relation(relation_rng_restriction(esk2_0,esk3_0)) ),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_63,c_0_64]),c_0_19])]),c_0_65]) ).

cnf(c_0_69,negated_conjecture,
    ~ in(esk1_0,relation_dom(esk3_0)),
    inference(spm,[status(thm)],[c_0_60,c_0_66]) ).

cnf(c_0_70,lemma,
    ~ relation(relation_rng_restriction(esk2_0,esk3_0)),
    inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_68]),c_0_19])]),c_0_69]) ).

cnf(c_0_71,lemma,
    $false,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_70,c_0_30]),c_0_19])]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SEU249+2 : TPTP v8.1.0. Released v3.3.0.
% 0.04/0.13  % Command  : run_ET %s %d
% 0.13/0.34  % Computer : n008.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sun Jun 19 09:08:52 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.36/23.43  eprover: CPU time limit exceeded, terminating
% 0.36/23.43  eprover: CPU time limit exceeded, terminating
% 0.36/23.43  eprover: eprover: CPU time limit exceeded, terminatingCPU time limit exceeded, terminating
% 0.36/23.43  
% 0.39/29.56  # Running protocol protocol_eprover_29fa5c60d0ee03ec4f64b055553dc135fbe4ee3a for 23 seconds:
% 0.39/29.56  
% 0.39/29.56  # Failure: Resource limit exceeded (time)
% 0.39/29.56  # OLD status Res
% 0.39/29.56  # Preprocessing time       : 0.053 s
% 0.39/29.56  # Running protocol protocol_eprover_773c90a94152ea2e8c9d3df9c4b1eb6152c40c03 for 23 seconds:
% 0.39/29.56  # SinE strategy is GSinE(CountFormulas,hypos,1.5,,,100,1.0)
% 0.39/29.56  # Preprocessing time       : 0.016 s
% 0.39/29.56  
% 0.39/29.56  # Proof found!
% 0.39/29.56  # SZS status Theorem
% 0.39/29.56  # SZS output start CNFRefutation
% See solution above
% 0.39/29.56  # Proof object total steps             : 72
% 0.39/29.56  # Proof object clause steps            : 45
% 0.39/29.56  # Proof object formula steps           : 27
% 0.39/29.56  # Proof object conjectures             : 17
% 0.39/29.56  # Proof object clause conjectures      : 14
% 0.39/29.56  # Proof object formula conjectures     : 3
% 0.39/29.56  # Proof object initial clauses used    : 19
% 0.39/29.56  # Proof object initial formulas used   : 13
% 0.39/29.56  # Proof object generating inferences   : 25
% 0.39/29.56  # Proof object simplifying inferences  : 25
% 0.39/29.56  # Training examples: 0 positive, 0 negative
% 0.39/29.56  # Parsed axioms                        : 307
% 0.39/29.56  # Removed by relevancy pruning/SinE    : 206
% 0.39/29.56  # Initial clauses                      : 185
% 0.39/29.56  # Removed in clause preprocessing      : 3
% 0.39/29.56  # Initial clauses in saturation        : 182
% 0.39/29.56  # Processed clauses                    : 14154
% 0.39/29.56  # ...of these trivial                  : 52
% 0.39/29.56  # ...subsumed                          : 7946
% 0.39/29.56  # ...remaining for further processing  : 6156
% 0.39/29.56  # Other redundant clauses eliminated   : 114
% 0.39/29.56  # Clauses deleted for lack of memory   : 0
% 0.39/29.56  # Backward-subsumed                    : 460
% 0.39/29.56  # Backward-rewritten                   : 510
% 0.39/29.56  # Generated clauses                    : 146220
% 0.39/29.56  # ...of the previous two non-trivial   : 137198
% 0.39/29.56  # Contextual simplify-reflections      : 3560
% 0.39/29.56  # Paramodulations                      : 137141
% 0.39/29.56  # Factorizations                       : 60
% 0.39/29.56  # Equation resolutions                 : 453
% 0.39/29.56  # Current number of processed clauses  : 5184
% 0.39/29.56  #    Positive orientable unit clauses  : 457
% 0.39/29.56  #    Positive unorientable unit clauses: 9
% 0.39/29.56  #    Negative unit clauses             : 464
% 0.39/29.56  #    Non-unit-clauses                  : 4254
% 0.39/29.56  # Current number of unprocessed clauses: 103109
% 0.39/29.56  # ...number of literals in the above   : 537509
% 0.39/29.56  # Current number of archived formulas  : 0
% 0.39/29.56  # Current number of archived clauses   : 972
% 0.39/29.56  # Clause-clause subsumption calls (NU) : 12838122
% 0.39/29.56  # Rec. Clause-clause subsumption calls : 4316713
% 0.39/29.56  # Non-unit clause-clause subsumptions  : 16159
% 0.39/29.56  # Unit Clause-clause subsumption calls : 1402006
% 0.39/29.56  # Rewrite failures with RHS unbound    : 22
% 0.39/29.56  # BW rewrite match attempts            : 1193
% 0.39/29.56  # BW rewrite match successes           : 459
% 0.39/29.56  # Condensation attempts                : 0
% 0.39/29.56  # Condensation successes               : 0
% 0.39/29.56  # Termbank termtop insertions          : 2179972
% 0.39/29.56  
% 0.39/29.56  # -------------------------------------------------
% 0.39/29.56  # User time                : 5.796 s
% 0.39/29.56  # System time              : 0.102 s
% 0.39/29.56  # Total time               : 5.898 s
% 0.39/29.56  # Maximum resident set size: 111764 pages
% 0.39/46.44  eprover: CPU time limit exceeded, terminating
% 0.39/46.45  eprover: CPU time limit exceeded, terminating
% 0.39/46.45  eprover: CPU time limit exceeded, terminating
% 0.39/46.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/46.46  eprover: No such file or directory
% 0.39/46.46  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/46.46  eprover: No such file or directory
% 0.39/46.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/46.47  eprover: No such file or directory
% 0.39/46.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/46.47  eprover: No such file or directory
% 0.39/46.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/46.47  eprover: No such file or directory
% 0.39/46.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/46.47  eprover: No such file or directory
% 0.39/46.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/46.47  eprover: No such file or directory
% 0.39/46.47  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/46.47  eprover: No such file or directory
% 0.39/46.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/46.48  eprover: No such file or directory
% 0.39/46.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/46.48  eprover: No such file or directory
% 0.39/46.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/46.48  eprover: No such file or directory
% 0.39/46.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/46.48  eprover: No such file or directory
% 0.39/46.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/46.48  eprover: No such file or directory
% 0.39/46.48  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/46.48  eprover: No such file or directory
% 0.39/46.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/46.49  eprover: No such file or directory
% 0.39/46.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/46.49  eprover: No such file or directory
% 0.39/46.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/46.49  eprover: No such file or directory
% 0.39/46.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/46.49  eprover: No such file or directory
% 0.39/46.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/46.49  eprover: No such file or directory
% 0.39/46.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/46.49  eprover: No such file or directory
% 0.39/46.49  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/46.49  eprover: No such file or directory
% 0.39/46.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/46.50  eprover: No such file or directory
% 0.39/46.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/46.50  eprover: No such file or directory
% 0.39/46.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/46.50  eprover: No such file or directory
% 0.39/46.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/46.50  eprover: No such file or directory
% 0.39/46.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/46.50  eprover: No such file or directory
% 0.39/46.50  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p.mepo_128.in
% 0.39/46.50  eprover: No such file or directory
% 0.39/46.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/46.51  eprover: No such file or directory
% 0.39/46.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/46.51  eprover: No such file or directory
% 0.39/46.51  eprover: Cannot stat file /export/starexec/sandbox/solver/bin/../tmp/theBenchmark.p
% 0.39/46.51  eprover: No such file or directory
%------------------------------------------------------------------------------